# Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 137389: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is \$5.15, including \$0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball? Click here to see answer by stanbon(57395)

 Question 137388: 1)On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school. 2)An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. Click here to see answer by stanbon(57395)

 Question 137387: How would i solve these two word problems??? 1)An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. 2)Joe has a collection of nickels and dimes that is worth \$5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be \$10.45. How many dimes does he have? Click here to see answer by stanbon(57395)

 Question 137384: How do i Solve?please help A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is \$5.15, including \$0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball? Click here to see answer by stanbon(57395)

 Question 137386: Help Me solve this : 1)Walt made an extra \$9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of \$770 in interest. How much was invested at 8%? Click here to see answer by sassylilmommie(4)

 Question 137460: The length of the base of the triangle is three times the height. The area of the triangle is 24in squared. Find the length of the base of the triangle. Click here to see answer by oscargut(891)

 Question 137531: At a concert, %720 was collected for hot dogs, hamburgers, and soft drinks. All three were sold for \$1.00 each. Twice as many Hotdogs were sold as hamburgers and three times as many soft drinks as hambugers were sold. The number of soft drinks sold was...120, 240, 360, or 480? Click here to see answer by stanbon(57395)

 Question 137588: How do i work out a problem when given How long will it take for the population of a certain country to double if its annual growth rate is 5 percent? First I plugged in 5 (for 5%) Log in my calculatorand the answer was 0.l698970004. Do i move the decimal over 2 places to give me 16.989 years or rather that it would take 17 years for the population to double. I have researched everthing and am unable to come up with any samples on how to work out any problems given just the percent without a population number? Can you please help me understand how to do this? Is it just a calculator problem? Any help would be greatly appreciated. Thank You. Click here to see answer by Fombitz(13828)

 Question 137592: How do i work out a problem when given How long will it take for the population of a certain country to double if its annual growth rate is 5 percent? First I plugged in 5 (for 5%) Log in my calculatorand the answer was 0.l698970004. Do i move the decimal over 2 places to give me 16.989 years or rather that it would take 17 years for the population to double. I have researched everthing and am unable to come up with any samples on how to work out any problems given just the percent without a population number? Can you please help me understand how to do this? Is it just a calculator problem? Any help would be greatly appreciated. Thank You. Click here to see answer by checkley77(12569)

 Question 137791: I need help on this problem: At a grocery store, a customer pays a total of \$11.10 for 1.6 pounds of chicken and 2 pounds of fish. Another customer pays a total of \$12.15 for 2.4 pounds of chicken and 1.8 pounds of fish. How much do 2 pounds of chicken and 2 pounds of fish cost. Explain Thank you. Click here to see answer by ankor@dixie-net.com(15661)

 Question 137910: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself,she visualizes a triangular area with different lengths for eacn side. For this Jenny decides to keep a side of the triangular area 5 feet shorter and the other 4 feet longer than the third side. She also wants to restrict the perimeter of the triangular aea to 29 feet, so that it does not cover a huge area of the garden. Determint the length of each side of the triangular area that Jenny has visualized. Click here to see answer by ankor@dixie-net.com(15661)

 Question 138095: A concrete driveway has a perimeter of 280 feet. The length of the driveway is 20 feet more than 4 times its width. Find the length and width of the driveway by writing two equations with two variables, and solving the equations by either the addition method or the substitution method. I am having a hard time solving this can some one please help Click here to see answer by checkley77(12569)

 Question 138104: the equationof a line with slope m that passes through the point (c,d) is given the formula y-d=m(x-c). if m=4 and (c,d)=(6,0) which of the followingis an equationof the line Click here to see answer by solver91311(16897)

 Question 138194: I have to set up equations and solve them. I have a hard time translating the problem though. I can do the math work. One number is 7 less than a second number. Twice the second number is 50 more than 5 times the first. Find the two numbers. Click here to see answer by stanbon(57395)

 Question 138195: I also have to set up a three equation problem as well but once again I don't understand it. If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid number plus 2 times the first number is 3. The first number plus 3 times the second number plus the third number is 18. Find the three numbers. Thank you for your help. Click here to see answer by stanbon(57395)
 Question 138195: I also have to set up a three equation problem as well but once again I don't understand it. If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid number plus 2 times the first number is 3. The first number plus 3 times the second number plus the third number is 18. Find the three numbers. Thank you for your help. Click here to see answer by solver91311(16897)

 Question 138402: An art dealer sold two artworks for \$1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for \$1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork Click here to see answer by ankor@dixie-net.com(15661)

 Question 138707: a grocer mixes cookies worth 80 cents a kg with cookies worth 95 cents a kg making a mixture selling at 85 cents a kg. If he mixes 60 kilograms , how many kilograms of each kind does he use? Click here to see answer by josmiceli(9697)

 Question 139044: 2x-y=8 I know how to do it but i get confused with the negative sign. HELP PLEASE! Click here to see answer by solver91311(16897)

 Question 139017: The following is known about three numbers: If the second number is subtracted from the sum of the first number and 5 times the third number, the result is -25. The third number plus of 4 times the first number is -4. The first number plus 4 times the second number plus the third number is 16. Find the three numbers. [Hint: let x represent the first number, y the second number, and z the third number. Use the given conditions to write and solve a system of equations.] Click here to see answer by ankor@dixie-net.com(15661)

 Question 139180: kindly help me with this other problem. PLEASE A father is 20 years older than his son. In 4 years time he will be twice as old as his son. Determine their present ages. Click here to see answer by ankor@dixie-net.com(15661)

 Question 139178: Please help me i really need ur help as soon as possible. Find three consecutive numbers such that 3 times the middle one shall be greater than the sum of the other two by 15. Click here to see answer by ankor@dixie-net.com(15661)

 Question 139578: The units digit of a number is 4 more than the tens digit. If the digits are reversed, the new number is 1 less than twice the origional number. Use a system of equations and substitution to find the number. I need to know how to set up the system of equations for this problem and what steps to take to solve it. Thank you. Click here to see answer by oscargut(891)
 Question 139578: The units digit of a number is 4 more than the tens digit. If the digits are reversed, the new number is 1 less than twice the origional number. Use a system of equations and substitution to find the number. I need to know how to set up the system of equations for this problem and what steps to take to solve it. Thank you. Click here to see answer by solver91311(16897)

 Question 139474: please... i have finals coming up and i still don't understand these questions... can you please help me!? i have question on a few of these: 3.) Flying to Kampala wit ha tailwind a plane averaged 158 km/h. On the retun trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. 4.) The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of \$38. The school took in \$52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. 6.)A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current? 7) The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. 8) The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? 9) Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of \$75. The school took in \$67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket? 10) Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of \$203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of \$220. Find the cost each of one small box of oranges and one large box of oranges. 11) A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current? 12) DeShawn and Shayna are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. DeShawn sold 10 bags of windflower bulbs and 12 bags of daffodil bulbs for a total of \$380. Shayna sold 6 bags of windflower bulbs and 8 bags of daffodil bulbs for a total of \$244. What is the cost each of one bag of windflower bulbs and one bag of daffodil bulbs? Click here to see answer by ankor@dixie-net.com(15661)

 Question 140385: can i please have help solving a word promblem i have for algebra. the promblem is worded like so: The sum of two numbers is 53. The first number is 137 more than the second number.Find the numbers. I have found numbers that equal to 53 but i can't get the first number to be 137 more than the second. Click here to see answer by scott8148(6628)

 Question 138876: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meteres from the car and heading toward the same crossing. How far is the train from the crossing? Click here to see answer by stanbon(57395)

 Question 140417: A cahshier had to give sarah \$3.45 in change but he had only quarters and dimes in the register. If he gave her 15 coins, how many dimes did she recieve? Click here to see answer by jojo14344(1512)

 Question 140675: I need assistance with an equation. Any help would be appreciated. The equation C= 2.50x +300, the equation represents the total cost to run Johnny's Pizza place for a day. C symbolizes the total cost to open the pizza place, and x stands for the number of pizzas sold. I need to find the y-intercept of this graph and graph the equation. Click here to see answer by checkley77(12569)

 Question 140755: can you help me with this problem? it is... the perimeter of a rectangle is 160ft. one fourth the length is the same as twice the width. find the dimension of the rectangle. Click here to see answer by checkley77(12569)

 Question 140765: Portobello mushrooms sel for \$6.60/kg and oyster mushrooms sell for \$11.00/kg. Find the mass of each type of mushroom in 1 -kg bags selling for \$8.36. Please answer this question with steps on how to solve it...I am greatful for this site and the help you provide students. Thank -you. Click here to see answer by ankor@dixie-net.com(15661)

 Question 140814: The American National Standards Institute (ANSA) states that the slope for a wheelchair ramp must not exceed 1/12. A. A ramp for a wheelchair must be 15 inches high. What is the minimum length of this ramp so that it meets the ANSI requirements? B. Does a ramp that is 14 inches high and 180 inches long meet the ANSI requirement? Click here to see answer by josmiceli(9697)

 Question 140853: A clothing manufacturer has 100 m of sill and 180 of wool. To make a suite it requires 2m of silk adn 3m of wool, and to make a dress 1m of silk and 2m of wool. If the profit on the suit is \$108 and the profit on the dress is \$60, how many suits and dressed should be madeto maximize the profit? I started something but it's wrong. Please help! 2x+1y=108 x+2y= 60 Profit = 108x+60y Click here to see answer by stanbon(57395)

 Question 140754: Frederique is two years older than her brother. Twelve years ago she was twice as old as he was. how old are they now? Click here to see answer by Fombitz(13828)

 Question 140815: The admission price to Wonderland Amusement Park has been increasing each year. The admission price since 2004 is given by P= 25.50 + 1.5t, where t is the number of years since 2004 Find and discuss the meaning of the intercepts on the verticle and horizontal axes. Click here to see answer by solver91311(16897)

 Question 140753: Tyrone is twice as old as his daughter. in six yeawrs tyrone's age will be three time what his daughter's age was six years ago. how old are they at present? Click here to see answer by ankor@dixie-net.com(15661)

 Question 140903: The volume of gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square? Click here to see answer by jojo14344(1512)

 Question 140949: A model rocket launched straight upward with an initial velocity of 200 m/s. The height of the rocket h, in meters, can be modelled by h = -5t^2 = 200t, where t is the elapsed time in seconds. What is the maximum height the rocket reaches? Click here to see answer by scott8148(6628)

 Question 141208: Please help - I'm lost here... Yellow Truck Co. advertises the following: 1. One way rental of a 15 ft. truck is \$45.00 a day, and 37 cents per mile for every mile driven over 500. 2. Round trip rental for the same truck is \$30.00 per day , and 10 cents per mile for every mile driven over 250. Gray Truck Co. offers the following: 1. One way rental of a 14 ft. truck is \$40.00 per day, and 18 cents per mile for every mile driven over 300. 2. Round trip rental of the same truck is \$20.00 a day, and 10 cents per mile driven. a) For each company construct an equation that expresses the relationship between the income earned and miles traveled for a round trip b) Graph, seperately, both of the equations that you constructed in part a). Click here to see answer by vleith(2825)

 Question 141269: If the product of a number and - 4 is subtracted from the number, the result is 9 more than the number. Click here to see answer by checkley77(12569)

 Question 141528: ```Take a look at the table below and write out an equation for f(x) ___________________________ x | -2 | -1 | 0 | 1 | 2 | f(x) | -5 | -2 | 1 | 4 | 7 |``` Click here to see answer by solver91311(16897)
 Question 141528: ```Take a look at the table below and write out an equation for f(x) ___________________________ x | -2 | -1 | 0 | 1 | 2 | f(x) | -5 | -2 | 1 | 4 | 7 |``` Click here to see answer by Edwin McCravy(8912)

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